#### DOCUMENTA MATHEMATICA,
Vol. Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday (2015), 577-590

** David J. Saltman **
Finite u Invariant and Bounds
on Cohomology Symbol Lengths

In this note we answer a question of Parimala's, showing that fields with
finite $u$ invariant have bounds on the symbol lengths in their $\mu_2$
cohomology in all degrees.

2010 Mathematics Subject Classification: 12G05, 11E04

Keywords and Phrases: u invariant, symbol length

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